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Synopsis

This unit introduces the methods of stochastic processes and statistics used in the analysis of biological data, physics, economics and engineering. At the completion of the unit students will understand the application of classical techniques, such as Poisson processes, Markov chains, hidden Markov chains, random walks, martingale theory, birth and death processes, and branching processes in the analysis of DNA sequences, population genetics, dynamics of populations, telecommunications and economic analysis.

Outcomes

On completion of this unit students will be able to:

Understand the idea of random variables varying with time;

Analyse Markov chains at the elementary level, in discrete and continuous time;